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Search: ex:EX9064
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BP1116 Contains self somewhere within any area around any point within self vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Very similar to the less clearly-defined solution "tiles itself with infinitely many copies (different sizes allowed) vs. does not".


The left hand side of this is a weaker condition than the left hand side of BP1241.

CROSSREFS

Adjacent-numbered pages:
BP1111 BP1112 BP1113 BP1114 BP1115  *  BP1117 BP1118 BP1119 BP1120 BP1121

KEYWORD

notso, perfect, infinitedetail

CONCEPT topological_density (info | search),
fractal (info | search),
recursion (info | search),
self-reference (info | search)

WORLD

connected_fractal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1118 Self-similar only scaled about one point vs. multiple centers of self-similarity.
(edit; present; nest [left/right]; search; history)
COMMENTS

There is only ever one such center of self-similarity or infinitely many.

CROSSREFS

Adjacent-numbered pages:
BP1113 BP1114 BP1115 BP1116 BP1117  *  BP1119 BP1120 BP1121 BP1122 BP1123

KEYWORD

nice, perfect, infinitedetail

CONCEPT fractal (info | search),
recursion (info | search),
self-reference (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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